make like a (something) and (do something)
A humorous construction of wordplay used to suggest or command someone to leave or depart promptly by creating a pun between the noun and an associated verb. You know, you're starting to get on my nerves—why don't you make like a tree and leave! This carnival turned out to be really boring. Come on, let's make like a banana and split! I told him to make like a bee and buzz off!
make like someone/something
in. to act like someone or something. Why don’t you make like a bunny and run away? Beat it!